Journal of Algebraic Geometry

Author(s): F. Flamini
Journal: J. Algebraic Geom. 11 (2002), 725-760.
Posted: June 10, 2002
Retrieve article in: PDF DVI PostScript

Abstract: In this paper we focus on the problem of computing the number of moduli of the so called Severi varieties (denoted by $V_{\vert D \vert, \delta}$ ), which parametrize universal families of irreducible, $\delta$ -nodal curves in a complete linear system $\vert D\vert$ , on a smooth projective surface

of general type. We determine geometrical and numerical conditions on

and numerical conditions on $\delta$ ensuring that such a number coincides with $dim(V_{\vert D \vert, \delta})$ . As related facts, we also determine some sharp results concerning the geometry of some Severi varieties.

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F. Flamini
Affiliation: Dipartimento di Matematica, Universita' degli Studi di Roma - ``Roma Tre", Largo San Leonardo Murialdo, 1 - 00146 Roma, Italy
Email: flamini@matrm3.mat.uniroma3.it

PII: S 1056-3911(02)00322-3
Received by editor(s): July 21, 2000
Posted: June 10, 2002
Additional Notes: The author is a member of GNSAGA-INdAM

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